A Mathematical Model Coupling Tumor Growth and Angiogenesis

We present a mathematical model for vascular tumor growth. We use phase fields to model cellular growth and reaction-diffusion equations for the dynamics of angiogenic factors and nutrients. The model naturally predicts the shift from avascular to vascular growth at realistic scales. Our computation...

Descripción completa

Detalles Bibliográficos
Autores principales: Xu, Jiangping, Vilanova, Guillermo, Gomez, Hector
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2016
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4758654/
https://www.ncbi.nlm.nih.gov/pubmed/26891163
http://dx.doi.org/10.1371/journal.pone.0149422
_version_ 1782416621073072128
author Xu, Jiangping
Vilanova, Guillermo
Gomez, Hector
author_facet Xu, Jiangping
Vilanova, Guillermo
Gomez, Hector
author_sort Xu, Jiangping
collection PubMed
description We present a mathematical model for vascular tumor growth. We use phase fields to model cellular growth and reaction-diffusion equations for the dynamics of angiogenic factors and nutrients. The model naturally predicts the shift from avascular to vascular growth at realistic scales. Our computations indicate that the negative regulation of the Delta-like ligand 4 signaling pathway slows down tumor growth by producing a larger density of non-functional capillaries. Our results show good quantitative agreement with experiments.
format Online
Article
Text
id pubmed-4758654
institution National Center for Biotechnology Information
language English
publishDate 2016
publisher Public Library of Science
record_format MEDLINE/PubMed
spelling pubmed-47586542016-02-26 A Mathematical Model Coupling Tumor Growth and Angiogenesis Xu, Jiangping Vilanova, Guillermo Gomez, Hector PLoS One Research Article We present a mathematical model for vascular tumor growth. We use phase fields to model cellular growth and reaction-diffusion equations for the dynamics of angiogenic factors and nutrients. The model naturally predicts the shift from avascular to vascular growth at realistic scales. Our computations indicate that the negative regulation of the Delta-like ligand 4 signaling pathway slows down tumor growth by producing a larger density of non-functional capillaries. Our results show good quantitative agreement with experiments. Public Library of Science 2016-02-18 /pmc/articles/PMC4758654/ /pubmed/26891163 http://dx.doi.org/10.1371/journal.pone.0149422 Text en © 2016 Xu et al http://creativecommons.org/licenses/by/4.0/ This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
spellingShingle Research Article
Xu, Jiangping
Vilanova, Guillermo
Gomez, Hector
A Mathematical Model Coupling Tumor Growth and Angiogenesis
title A Mathematical Model Coupling Tumor Growth and Angiogenesis
title_full A Mathematical Model Coupling Tumor Growth and Angiogenesis
title_fullStr A Mathematical Model Coupling Tumor Growth and Angiogenesis
title_full_unstemmed A Mathematical Model Coupling Tumor Growth and Angiogenesis
title_short A Mathematical Model Coupling Tumor Growth and Angiogenesis
title_sort mathematical model coupling tumor growth and angiogenesis
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4758654/
https://www.ncbi.nlm.nih.gov/pubmed/26891163
http://dx.doi.org/10.1371/journal.pone.0149422
work_keys_str_mv AT xujiangping amathematicalmodelcouplingtumorgrowthandangiogenesis
AT vilanovaguillermo amathematicalmodelcouplingtumorgrowthandangiogenesis
AT gomezhector amathematicalmodelcouplingtumorgrowthandangiogenesis
AT xujiangping mathematicalmodelcouplingtumorgrowthandangiogenesis
AT vilanovaguillermo mathematicalmodelcouplingtumorgrowthandangiogenesis
AT gomezhector mathematicalmodelcouplingtumorgrowthandangiogenesis

Ejemplares similares